apply Pythagorean theorem to find the length between the two points (5,5) (2,-3)
First, we need to find the difference in the x-coordinate and the y-coordinate between the two points:
Difference in x-coordinate = 5 - 2 = 3
Difference in y-coordinate = 5 - (-3) = 8
Now, using the Pythagorean theorem, we can find the distance between the two points by calculating the square root of the sum of the squares of the differences:
Distance = √(3^2 + 8^2)
= √(9 + 64)
= √73
Therefore, the distance between the points (5,5) and (2,-3) is √73 or approximately 8.54 units.